Base 32: Maximum Iteration Sequences: Full Cycle

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV

Color Key
OrangeFixed Pointnumber that becomes itself after one iteration
GreenFinal Numbersall numbers eventually reached, from all cycles
PurpleCycle Startiterations include entry into cycle, assuming it repeats
RedFull Cycleiterations include entire cycle, proving it repeats
BlueStart Numberssubset (optimization) of all numbers; minimal for full coverage
GrayNo Resultsany calculation that has no results

Digits Max Steps Max Step Example
Full Cycle
12 max steps1 → 0 → 0
27 max steps20 → 1U → S3 → O7 → GF → 0V → U1 → S3
318 max steps100 → 0VV → UV1 → TV2 → SV3 → RV4 → QV5 → PV6 → OV7 → NV8 → MV9 → LVA → KVB → JVC → IVD → HVE → GVF → FVG → FVG
414 max steps1004 → 40US → UN72 → SFF4 → NVV8 → N7N9 → GDHG → 3VVS → S2S4 → QN76 → KFFC → 7VVO → O6O8 → IFFE → 3VVS
521 max stepsF0000 → EVVVH → HDVHF → I1VTE → UEVG2 → TFVF3 → SDVH4 → REVG5 → QCVI6 → PDVH7 → OBVJ8 → NCVI9 → MAVKA → LBVJB → K9VLC → M8VMA → NBVJ9 → MBVJA → LAVKB → L9VLB → M9VLA → MBVJA
653 max steps100037 → 730USP → UPHD62 → SJ3RC4 → PN6O87 → JHEGED → 631TSQ → SPJB64 → OJ7NC8 → HF6OGF → I20UTE → UR3R42 → SOM874 → OHDHE8 → G42SRG → QMVV86 → PN3R87 → OIEGD8 → G51TQG → SKVVA4 → RL7NA5 → MGAKFA → CA0ULK → UB7NK2 → SG8MF4 → OE0UH8 → UG2SF2 → SQ0U54 → UOKA72 → SH9LE4 → OC2SJ8 → QG6OF6 → KI0UDC → U84QN2 → SMEG94 → OD1TI8 → SG4QF4 → OM0U98 → UGCIF2 → S60UP4 → UOIC72 → SH5PE4 → OK2SB8 → QG8MF6 → KE0UHC → U82SN2 → SQEG54 → OL1TA8 → SGAKF4 → OA0UL8 → UGAKF2 → SA0UL4 → UOAK72 → SH9LE4
737 max steps800000P → P7VVVN7 → OO7VN78 → OHFVFE8 → NA1VTL9 → UKCVIB2 → TJ7VNC3 → SMAVK94 → RJBVJC5 → QG6VOF6 → PK8VMB7 → OHAVKE8 → NE5VPH9 → QG8VMF6 → PI6VOD7 → PIAVKD7 → OF6VOG8 → PG8VMF7 → OH6VOE8 → PG9VLF7 → OG5VPF8 → QH8VME6 → PI7VND7 → OI9VLD8 → NF7VNG9 → OE7VNH8 → OG8VMF8 → NG6VOF9 → PF7VNG7 → OI7VND8 → OG9VLF8 → NF5VPG9 → QG7VNF6 → PJ7VNC7 → OIAVKD8 → NE6VOH9 → PF8VMG7 → OH6VOE8
864 max stepsF0000000 → EVVVVVVH → HDVVVVHF → IGEDHHFE → 5330USSR → UPPL9662 → SJJBJCC4 → O876OON8 → IHGEGFEE → 4320UTSS → URPN7642 → SNJFFC84 → OF6VVOG8 → PN97NM87 → IGFCIGFE → 6410UURQ → UTNJB822 → SRF7NG44 → ONG0UF88 → UGF0UGF2 → US10UU32 → UTSO6322 → SRPHD644 → ONJ3RC88 → OGF6OGF8 → IG10UUFE → UT40UR22 → USRM8432 → SPNDH864 → OJF3RGC8 → OG70UOF8 → UHG0UFE2 → US30US32 → USPO6632 → SPJHDC64 → OJ73ROC8 → OHG6OFE8 → IG30USFE → UP40UR62 → USNIC832 → SPF5PG64 → OKJ0UCB8 → UG96OMF2 → SID0UID4 → UO54QQ72 → SMLGEA94 → ODB1TKI8 → SG94QMF4 → OMD0UI98 → UGD4QIF2 → SM50UQ94 → UOLCIA72 → SHB5PKE4 → OK92SMB8 → QGD8MIF6 → KE50UQHC → UL82SNA2 → SQFAKG54 → OLA0ULA8 → UGBAKKF2 → SA90UML4 → UODAKI72 → SHA4QLE4 → OMB2SK98 → QGD8MIF6
936 max stepsB00000000 → AVVVVVVVL → L9VVVVVLB → MKA9VLLBA → MCB9VLKJA → MCA7VNLJA → ODC8VMJI8 → NGA5VPLF9 → QGD5VPIF6 → QKC2VSJB6 → TMF7VNG93 → SME6VOH94 → RMF7VNG95 → QKE6VOHB6 → PKD5VPIB7 → QIE6VOHD6 → PKB3VRKB7 → SKE8VMHB4 → RKB5VPKB5 → QME8VMH96 → PID7VNID7 → OIA4VQLD8 → RIE7VNHD5 → QKA3VRLB6 → SLG9VLFA4 → RJB5VPKC5 → QME7VNH96 → PJE7VNHC7 → OIB4VQKD8 → RID6VOID5 → QLB4VQKA6 → RKG9VLFB5 → QIA4VQLD6 → RKG7VNFB5 → QKC4VQJB6 → RKF7VNGB5 → QKC4VQJB6
1061 max steps300000888D → D8882SNNNJ → QFFF5PGGG6 → LJ110UUUCB → UTTA6OL222 → SRRIAKD444 → ONNA4QL888 → MGFFAKGGFA → CA110UUULK → UTTB7NK222 → SRRG8MF444 → ONNE0UH888 → UGFF2SGGF2 → SQ110UUU54 → UTTOKA7222 → SRRH9LE444 → ONNC2SJ888 → QGFF6OGGF6 → KI110UUUDC → UTT84QN222 → SRRMEG9444 → ONND1TI888 → SGFF4QGGF4 → OM110UUU98 → UTTGCIF222 → SRR60UP444 → UONNIC8872 → SHFF5PGGE4 → OK310UUSB8 → UTPG8MF622 → SRJE0UHC44 → UON72SO872 → SQHHEGEE54 → OL331TSSA8 → SPPGAKF664 → OJJA0ULCC8 → UGB76OOKF2 → SIH90UMED4 → UOD52SQI72 → SQLH4QEA54 → OMLB2SKA98 → QGDB8MKIF6 → KE950UQMHC → ULD82SNIA2 → SQFB4QKG54 → OML90UMA98 → UGDDAKIIF2 → SA550UQQL4 → UOLLAKAA72 → SHBB9LKKE4 → OC992SMMJ8 → QGDD6OIIF6 → KI550UQQDC → ULL84QNAA2 → SMFBAKKG94 → ODA90UMLI8 → UGDB4QKIF2 → SM950UQM94 → UOLDCIIA72 → SHB64QPKE4 → OMJ92SMC98 → QGDD6OIIF6
1175 max steps20000002223 → 32221VTTTTT → URRRPV54442 → TQNNLV98853 → SOIFDVHGD74 → RLB51VTQKA5 → UOMG9VLF972 → TNFD5VPIG83 → SOHA2VSLE74 → TOLE6VOHA73 → SNHE6VOHE84 → RMG92VSMF95 → TNID6VOID83 → SNGA4VQLF84 → ROID5VPID75 → QMIB4VQKD96 → RKHB6VOKEB5 → QLD95VPMIA6 → QKGC7VNJFB6 → PJC83VRNJC7 → SKHB6VOKEB4 → RMD95VPMI95 → QMGD8VMIF96 → PID92VSMID7 → TLG94VQMFA3 → SPHC5VPJE64 → RNJD4VQIC85 → RMIB5VPKD95 → QMGB6VOKF96 → PKFB4VQKGB7 → RJE94VQMHC5 → RMHA4VQLE95 → RMHC6VOJE95 → QLFA4VQLGA6 → RKGB5VPKFB5 → QME94VQMH96 → RKHD7VNIEB5 → QKC73VROJB6 → SLJD7VNICA4 → RLD95VPMIA5 → QMGC7VNJF96 → PJEA3VRLHC7 → SKF94VQMGB4 → ROHB4VQKE75 → RMJD5VPIC95 → QMGA5VPLF96 → QKGC5VPJFB6 → QKE83VRNHB6 → SLIC5VPJDA4 → RNF95VPMG85 → QMHE6VOHE96 → PKF82VSNGB7 → TLHC4VQJEA3 → SPG94VQMF64 → ROKG6VOFB75 → QLHD4VQIEA6 → RKG83VRNFB5 → SMJC4VQJC94 → ROHA6VOLE75 → QLHE6VOHEA6 → PKE72VSOHB7 → TLID5VPIDA3 → SOF84VQNG74 → ROJG7VNFC75 → QKHB3VRKEB6 → SLF95VPMGA4 → RNGC5VPJF85 → QMHB3VRKE96 → SLHB5VPKEA4 → RNFA5VPLG85 → QMHD5VPIE96 → QKG93VRMFB6 → SLHB4VQKEA4 → ROGA5VPLF75 → QMIE5VPHD96 → QKG93VRMFB6